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496040093 = 17371814357
BaseRepresentation
bin11101100100001…
…111100010011101
31021120101110002022
4131210033202131
52003441240333
6121115505525
715202162013
oct3544174235
91246343068
10496040093
1123500229a
1211a1582a5
137b9c9863
1449c448b3
152d834c98
hex1d90f89d

496040093 has 16 divisors (see below), whose sum is σ = 542518704. Its totient is φ = 451630080.

The previous prime is 496040089. The next prime is 496040113. The reversal of 496040093 is 390040694.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 79798489 + 416241604 = 8933^2 + 20402^2 .

It is a cyclic number.

It is not a de Polignac number, because 496040093 - 22 = 496040089 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496040033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111671 + ... + 116027.

It is an arithmetic number, because the mean of its divisors is an integer number (33907419).

Almost surely, 2496040093 is an apocalyptic number.

It is an amenable number.

496040093 is a deficient number, since it is larger than the sum of its proper divisors (46478611).

496040093 is a wasteful number, since it uses less digits than its factorization.

496040093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 496040093 is about 22271.9575475529. The cubic root of 496040093 is about 791.5996498222.

The spelling of 496040093 in words is "four hundred ninety-six million, forty thousand, ninety-three".

Divisors: 1 17 37 181 629 3077 4357 6697 74069 113849 161209 788617 2740553 13406489 29178829 496040093